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If R and L represent respectively resistance and self inductance, which of the following combinations has the dimensions of frequency
- a)R/L
- b)L/R
- c)√R/L
- d)√L/R
Correct answer is option 'A'. Can you explain this answer?
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If R and L represent respectively resistance and self inductance, whic...
Dimensions of frequency
Frequency is defined as the number of cycles per unit time. It is measured in Hertz (Hz) and has the dimensions of inverse time or 1/T.
Dimensional analysis of R/L
Resistance is defined as the opposition to the flow of electric current. It is measured in Ohms (Ω) and has the dimensions of voltage per unit current or V/A.
Self inductance is defined as the ability of a current-carrying conductor to induce a voltage in itself. It is measured in Henries (H) and has the dimensions of voltage per unit current per unit time or V/(A·s).
Therefore, the dimensions of R/L are (V/A)/(V/(A·s)) = s^-1 or 1/T, which is the same as the dimensions of frequency.
Answer: A
Option A, R/L, has the dimensions of frequency, which is the correct answer. The other options do not have the correct dimensions. Option B, L/R, has the dimensions of time, option C, √R/L, has the dimensions of 1/√T, and option D, √L/R, has the dimensions of 1/√T.
Frequency is defined as the number of cycles per unit time. It is measured in Hertz (Hz) and has the dimensions of inverse time or 1/T.
Dimensional analysis of R/L
Resistance is defined as the opposition to the flow of electric current. It is measured in Ohms (Ω) and has the dimensions of voltage per unit current or V/A.
Self inductance is defined as the ability of a current-carrying conductor to induce a voltage in itself. It is measured in Henries (H) and has the dimensions of voltage per unit current per unit time or V/(A·s).
Therefore, the dimensions of R/L are (V/A)/(V/(A·s)) = s^-1 or 1/T, which is the same as the dimensions of frequency.
Answer: A
Option A, R/L, has the dimensions of frequency, which is the correct answer. The other options do not have the correct dimensions. Option B, L/R, has the dimensions of time, option C, √R/L, has the dimensions of 1/√T, and option D, √L/R, has the dimensions of 1/√T.
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If R and L represent respectively resistance and self inductance, which of the following combinations has the dimensions of frequencya)R/Lb)L/Rc)√R/Ld)√L/RCorrect answer is option 'A'. Can you explain this answer?
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